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Finding the Third Proportional to 123,296 and 252,432

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Solution

The third proportional to 123,296 and 252,432 is: 516,820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,296 : 252,432 = 252,432 : x
  2. Step 2: Convert to fraction form
    123,296/252,432 = 252,432/x
  3. Step 3: Cross multiply
    123,296x = 252,432 × 252,432
  4. Step 4: Simplify right side
    123,296x = 63,721,914,624
  5. Step 5: Solve for x
    x = 63,721,914,624/123,296
  6. Step 6: Final answer
    x = 516,820.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.